Home > Articles > Published articles > On central configurations of the κn-body problem |
Date: | 2019 |
Abstract: | We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=2 we prove the existence of a twisted (2,n)-crown for any value of the mass ratio. Moreover, for n=3,4 and any value of the mass ratio, we give the exact number of twisted (2,n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2,n)-crowns for n≥5. |
Grants: | Ministerio de Economía y Competitividad MTM2016-80117-P Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1374 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Celestial mechanics ; N-body problem ; Planar central configurations ; Twisted central configurations |
Published in: | Journal of mathematical analysis and applications, Vol. 476, Núm. 2 (August 2019) , p. 720-736, ISSN 1096-0813 |
Postprint 15 p, 488.5 KB |